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# Expand the expression $\left(\sqrt[8]{a}-\sqrt[4]{12}\right)\left(\sqrt[8]{a^7}+\sqrt[4]{12^3}\right)$

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##  Final answer to the problem

$a+6.4474196\sqrt[8]{a}-\sqrt[4]{12}\sqrt[8]{a^{7}}-12$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Product of Binomials with Common Term
• FOIL Method
• Find the integral
• Find the derivative
• Factor
• Integrate by partial fractions
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
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1

Calculate the square root of $12$

$\left(\sqrt[8]{a}-\sqrt[4]{12}\right)\left(\sqrt[8]{a^7}+\sqrt[4]{12^3}\right)$

Learn how to solve special products problems step by step online.

$\left(\sqrt[8]{a}-\sqrt[4]{12}\right)\left(\sqrt[8]{a^7}+\sqrt[4]{12^3}\right)$

Learn how to solve special products problems step by step online. Expand the expression (a^1/8-12^1/4)(a^7^1/8+12^3^1/4). Calculate the square root of 12. Multiply -1 times \sqrt[4]{12}. Calculate the power 12^3. Calculate the power \sqrt[4]{1728}.

##  Final answer to the problem

$a+6.4474196\sqrt[8]{a}-\sqrt[4]{12}\sqrt[8]{a^{7}}-12$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Answer Assistant

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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

###  Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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